The problem presents a histogram and a dot plot representing the number of guests staying in each room of a hostel. We need to compare these two representations of the same data. The goal is to figure out the underlying data that both the histogram and dot plot are representing.

1. Problem Description

The problem presents a histogram and a dot plot representing the number of guests staying in each room of a hostel. We need to compare these two representations of the same data. The goal is to figure out the underlying data that both the histogram and dot plot are representing.

2. Solution Steps

The histogram displays the number of rooms for intervals of guest counts.

The dot plot displays the number of rooms for each specific guest count.

We can derive the data from either the histogram or the dot plot. Let's use the dot plot:

* 0 guests: 1 room

* 2 guests: 1 room

* 6 guests: 1 room

* 7 guests: 5 rooms

* 8 guests: 3 rooms

* 9 guests: 2 rooms

* 11 guests: 1 room

* 12 guests: 6 rooms

* 13 guests: 1 room

* 14 guests: 1 room

* 16 guests: 2 rooms

* 22 guests: 1 room

We can check consistency with the histogram.

* 0-4 guests: 1 + 1 = 2 rooms + 0 other values. Close to

3. * 4-8 guests: 1 + 5 = 6 rooms + 0 other values. Close to

5. * 8-12 guests: 3 + 2 + 1 = 6 rooms + 0 other values. Close to

8. * 12-16 guests: 6 + 1 + 1 + 2 = 10 rooms. Close to

6. * 16-20 guests: 0 rooms. Close to

3. * 20-24 guests: 1 room. Close to

1.

3. Final Answer

Data is listed in the "Solution Steps" section. There's no explicit value or equation to provide here. The response depends on how this information is to be utilized, which isn't specified in the prompt.